Logo

Quasi-Projective Moduli for Polarized Manifolds

Large book cover: Quasi-Projective Moduli for Polarized Manifolds

Quasi-Projective Moduli for Polarized Manifolds
by

Publisher: Springer
ISBN/ASIN: 3540592555
ISBN-13: 9783540592556
Number of pages: 326

Description:
This book discusses two subjects of quite different nature: Construction methods for quotients of quasi-projective schemes by group actions or by equivalence relations and properties of direct images of certain sheaves under smooth morphisms. Both methods together allow to prove the central result of the text, the existence of quasi-projective moduli schemes, whose points parametrize the set of manifolds with ample canonical divisors or the set of polarized manifolds with a semi-ample canonical divisor.

Home page url

Download or read it online for free here:
Download link
(1.5MB, PDF)

Similar books

Book cover: Introduction to Algebraic GeometryIntroduction to Algebraic Geometry
by
From the table of contents: Affine Varieties; Ideals and varieties. Hilbert's Basis Theorem. Regular functions and regular mappings. Projective and Abstract Varieties; Dimension Theory; Regular and singular points; Intersection theory.
(10913 views)
Book cover: Introduction to Projective VarietiesIntroduction to Projective Varieties
by - Universidad Complutense de Madrid
The scope of these notes is to present a soft and practical introduction to algebraic geometry, i.e. with very few algebraic requirements but arriving soon to deep results and concrete examples that can be obtained 'by hand'.
(9112 views)
Book cover: Modular Functions and Modular FormsModular Functions and Modular Forms
by
This is an introduction to the arithmetic theory of modular functions and modular forms, with an emphasis on the geometry. Prerequisites are the algebra and complex analysis usually covered in advanced undergraduate or first-year graduate courses.
(11744 views)
Book cover: Algebraic GeometryAlgebraic Geometry
by
These notes are an introduction to the theory of algebraic varieties. In contrast to most such accounts they study abstract algebraic varieties, not just subvarieties of affine and projective space. This approach leads naturally to scheme theory.
(14164 views)